Question

Determine $k$ for which the quadratic equation has equal roots $4x^2-3kx+1=0$.

Answer 1

Given the quadratic equation is $4x^2-3kx+1=0$ will have two equal root if the disreminant of the quadratic equation is $0$.

Then $(-3k{)}^2-\mathrm{4.4.1}=0$

or, $9k^2-16=0$

or, $k^2=\frac{16}{9}$

or, $k=\pm \frac{4}{3}$.